Feng, Bo; Wu, Gang On convergence of the generalized Lanczos trust-region method for trust-region subproblems. (English) Zbl 07971683 Adv. Comput. Math. 51, No. 1, Paper No. 4, 29 p. (2025). MSC: 65F15 65F10 90C20 90C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, Bo; Wu, Gang Convergence of the block Lanczos method for the trust-region subproblem in the hard case. (English) Zbl 07953719 Numer. Linear Algebra Appl. 31, No. 5, e2561, 16 p. (2024). MSC: 65Fxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Lijuan Nonmonotone alternative direction method based on simple conic model for unconstrained optimization. (English) Zbl 07941702 Asia-Pac. J. Oper. Res. 41, No. 2, Article ID 2350011, 22 p. (2024). MSC: 90Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Brust, Johannes J.; Gill, Philip E. An \(LDL^{\mathrm{T}}\) trust-region quasi-Newton method. (English) Zbl 07931254 SIAM J. Sci. Comput. 46, No. 5, A3330-A3351 (2024). MSC: 65K10 90C53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jiaofen; Kong, Lingchang; Duan, Xuefeng; Zhou, Xuelin; Luo, Qilun A trust-region method for solving truncated complex singular value decomposition. (English) Zbl 07924444 J. Comput. Math. 42, No. 4, 999-1031 (2024). MSC: 15A24 15A57 65F10 65F30 × Cite Format Result Cite Review PDF Full Text: DOI
Sutti, Marco; Vandereycken, Bart Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations. (English) Zbl 1547.65032 J. Sci. Comput. 101, No. 1, Paper No. 3, 37 p. (2024). MSC: 65F08 65L04 65F45 65K05 58C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rezaeiparsa, Zahra; Ashrafi, Ali A new adaptive Levenberg-Marquardt parameter with a nonmonotone and trust region strategies for the system of nonlinear equations. (English) Zbl 07915224 Math. Sci., Springer 18, No. 3, 479-491 (2024). MSC: 65Hxx 65Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Hoseini Monjezi, N.; Nobakhtian, S.; Pouryayevali, M. R. Nonsmooth nonconvex optimization on Riemannian manifolds via bundle trust region algorithm. (English) Zbl 07878093 Comput. Optim. Appl. 88, No. 3, 871-902 (2024). MSC: 90C26 65K05 58C05 49J52 × Cite Format Result Cite Review PDF Full Text: DOI
Fang, Yuchen; Na, Sen; Mahoney, Michael W.; Kolar, Mladen Fully stochastic trust-region sequential quadratic programming for equality-constrained optimization problems. (English) Zbl 1548.90334 SIAM J. Optim. 34, No. 2, 2007-2037 (2024). MSC: 90C15 90C30 90C55 90C90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bernal, Francisco; Safdari-Vaighani, Ali; Larsson, Elisabeth A radial basis function partition of unity method for steady flow simulations. (English) Zbl 07833837 J. Comput. Phys. 503, Article ID 112842, 18 p. (2024). MSC: 76Mxx 41Axx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Shimin; Yan, Tao; Zhu, Yuanguo Proximal gradient algorithm with trust region scheme on Riemannian manifold. (English) Zbl 1543.90302 J. Glob. Optim. 88, No. 4, 1051-1076 (2024). MSC: 90C48 × Cite Format Result Cite Review PDF Full Text: DOI
Baraldi, Robert J.; Kouri, Drew P. Local convergence analysis of an inexact trust-region method for nonsmooth optimization. (English) Zbl 1543.90230 Optim. Lett. 18, No. 3, 663-680 (2024). MSC: 90C26 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Xin-long; Xiao, Hang; Zhang, Sen The regularization continuation method for optimization problems with nonlinear equality constraints. (English) Zbl 1534.65089 J. Sci. Comput. 99, No. 1, Paper No. 17, 43 p. (2024). MSC: 65K05 90C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Asl, Azam; Lu, Haihao; Yang, Jinwen A \(J\)-symmetric quasi-Newton method for minimax problems. (English) Zbl 1540.90276 Math. Program. 204, No. 1-2 (A), 207-254 (2024). MSC: 90C47 90C53 65K15 49K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Singh, Abhishek; Kumar, Krishan; Ghosh, Debdas Improved nonmonotone adaptive trust-region method to solve generalized Nash equilibrium problems. (English) Zbl 1532.91009 J. Nonlinear Convex Anal. 25, No. 1, 11-29 (2024). MSC: 91A11 91A10 × Cite Format Result Cite Review PDF Full Text: Link
Keil, Tim; Ohlberger, Mario A relaxed localized trust-region reduced basis approach for optimization of multiscale problems. (English) Zbl 1536.90115 ESAIM, Math. Model. Numer. Anal. 58, No. 1, 79-105 (2024). MSC: 90C06 35J20 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ju, K. H.; O, Y. B.; Rim, K. Density function-based trust region algorithm for approximating Pareto front of black-box multiobjective optimization problems. (English) Zbl 1536.90200 Comput. Math. Math. Phys. 63, No. 12, 2492-2512 (2023). MSC: 90C29 × Cite Format Result Cite Review PDF Full Text: DOI
Marko, Jonas; Wachsmuth, Gerd Integer optimal control problems with total variation regularization: optimality conditions and fast solution of subproblems. (English) Zbl 1531.49026 ESAIM, Control Optim. Calc. Var. 29, Paper No. 81, 30 p. (2023). MSC: 49K30 49L20 49M37 90C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xiao, Yuchen; Zhuang, Xiaosheng Spherical framelets from spherical designs. (English) Zbl 1529.42029 SIAM J. Imaging Sci. 16, No. 4, 2072-2104 (2023). MSC: 42C15 42C40 58C35 65D18 65D32 05B30 68R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Shuai; Eberhard, Andrew C.; Luo, Yousong A version of bundle trust region method with linear programming. (English) Zbl 1538.90108 J. Optim. Theory Appl. 199, No. 2, 639-662 (2023). MSC: 90C25 49J52 65K10 90C05 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Shigeng; Nocedal, Jorge A trust region method for noisy unconstrained optimization. (English) Zbl 1526.65023 Math. Program. 202, No. 1-2 (A), 445-472 (2023). MSC: 65K05 65Y20 90C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lei, Zhenzeng; Zhang, Jian; Liang, Yuan; Chen, Guohai; Yang, Dixiong Efficient two-phase approach to reliability-based discrete variable topology optimization of continuum structures with multimodal distributions. (English) Zbl 1539.74306 Comput. Methods Appl. Mech. Eng. 415, Article ID 116237, 25 p. (2023). MSC: 74P15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Shimin; Yan, Tao; Wang, Kai; Zhu, Yuanguo Adaptive trust-region method on Riemannian manifold. (English) Zbl 1532.90129 J. Sci. Comput. 96, No. 3, Paper No. 67, 27 p. (2023). MSC: 90C30 90C48 × Cite Format Result Cite Review PDF Full Text: DOI
Tran, Thi Thoi; Sinoquet, Delphine; Da Veiga, Sébastien; Mongeau, Marcel Derivative-free mixed binary necklace optimization for cyclic-symmetry optimal design problems. (English) Zbl 1519.90130 Optim. Eng. 24, No. 1, 353-394 (2023). MSC: 90C11 90C56 90C90 × Cite Format Result Cite Review PDF Full Text: DOI Link
Li, Lin; Wang, Li-Lian; Li, Huiyuan An efficient spectral trust-region deflation method for multiple solutions. (English) Zbl 1516.65146 J. Sci. Comput. 95, No. 1, Paper No. 32, 23 p. (2023). MSC: 65N35 65N22 65H10 65D05 65L10 42C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alavi, Javad; Aminikhah, Hossein Some properties of orthogonal linear splines and their applications to inverse problems. (English) Zbl 1509.65008 Appl. Anal. 102, No. 3, 739-769 (2023). MSC: 65D07 65N21 65F22 47A52 47J06 × Cite Format Result Cite Review PDF Full Text: DOI
Wen, Tianshu; Zahr, Matthew J. A globally convergent method to accelerate large-scale optimization using on-the-fly model hyperreduction: application to shape optimization. (English) Zbl 07679186 J. Comput. Phys. 484, Article ID 112082, 33 p. (2023). MSC: 90Cxx 65Nxx 49Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hoseini Monjezi, Najmeh A bundle trust region algorithm for minimizing locally Lipschitz functions. (English) Zbl 1516.90063 SIAM J. Optim. 33, No. 1, 319-337 (2023). MSC: 90C26 49J52 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Antil, Harbir; Kouri, Drew P.; Ridzal, Denis ALESQP: an augmented Lagrangian equality-constrained SQP method for optimization with general constraints. (English) Zbl 1516.90093 SIAM J. Optim. 33, No. 1, 237-266 (2023). MSC: 90C30 90C55 90C39 93C20 49K20 49J20 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Jirui; Fan, Jinyan On convergence properties of the modified trust region method under Hölderian error bound condition. (English) Zbl 1524.65223 J. Ind. Manag. Optim. 19, No. 2, 1139-1151 (2023). MSC: 65K05 90C26 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Ziang; Milzarek, Andre; Wen, Zaiwen A trust-region method for nonsmooth nonconvex optimization. (English) Zbl 1524.90254 J. Comput. Math. 41, No. 4, 659-692 (2023). MSC: 90C26 90C30 65K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Doikov, Nikita; Nesterov, Yurii Affine-invariant contracting-point methods for convex optimization. (English) Zbl 1512.90162 Math. Program. 198, No. 1 (A), 115-137 (2023). MSC: 90C25 90C06 65K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eslami, N.; Najafi, B.; Vaezpour, S. M. A trust region method for solving multicriteria optimization problems on Riemannian manifolds. (English) Zbl 1511.90372 J. Optim. Theory Appl. 196, No. 1, 212-239 (2023). MSC: 90C29 65K05 58E17 90C55 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Yaozong; Luo, Gang; Yang, Qingzhi An efficient PGM-based algorithm with backtracking strategy for solving quadratic optimization problems with spherical constraint. (English) Zbl 1499.65232 J. Comput. Appl. Math. 422, Article ID 114915, 13 p. (2023). MSC: 65K05 90C20 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Mingyuan; Yang, Yueting; Hou, Tianliang; Li, Chaoqian A nonmonotone accelerated Levenberg-Marquardt method for the \(\mathcal{B} \)-eigenvalues of symmetric tensors. (English) Zbl 07769609 Int. Trans. Oper. Res. 29, No. 1, 113-129 (2022). MSC: 90-XX × Cite Format Result Cite Review PDF Full Text: DOI
Fu, Weiming; Qin, Jiahu; Ling, Qing; Kang, Yu; Ye, Baijia Trust-region based stochastic variational inference for distributed and asynchronous networks. (English) Zbl 1521.93068 J. Syst. Sci. Complex. 35, No. 6, 2062-2076 (2022). MSC: 93B70 93E03 62F15 68T05 × Cite Format Result Cite Review PDF Full Text: DOI
Banholzer, Stefan; Keil, Tim; Ohlberger, Mario; Mechelli, Luca; Schindler, Felix; Volkwein, Stefan An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization. (English) Zbl 1510.90268 Pure Appl. Funct. Anal. 7, No. 5, 1561-1596 (2022). MSC: 90C31 35J20 65N30 90C06 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Yamashita, Hiroshi Convergence to a second-order critical point by a primal-dual interior point trust-region method for nonlinear semidefinite programming. (English) Zbl 1509.90139 Optim. Methods Softw. 37, No. 6, 2190-2224 (2022). MSC: 90C22 90C26 90C51 × Cite Format Result Cite Review PDF Full Text: DOI
Jauny; Ghosh, Debdas; Upadhayay, Ashutosh; Ansari, Qamrul Hasan A trust-region interior-point technique to solve multi-objective optimization problems and its application to a tuberculosis optimal control problem. (English) Zbl 1517.90133 J. Nonlinear Var. Anal. 6, No. 6, 675-691 (2022). MSC: 90C29 90C51 65K05 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Guohua; Wang, Yixuan; Vink, Jeroen C.; Wells, Terence J.; Saaf, Fredrik J. F. E. Distributed quasi-Newton derivative-free optimization method for optimization problems with multiple local optima. (English) Zbl 1496.65069 Comput. Geosci. 26, No. 4, 847-863 (2022). MSC: 65K05 86A05 90C39 86A32 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Bisui, Nantu Kumar; Panda, Geetanjali Adaptive trust region scheme for multi-objective optimization problem using Geršgorin circle theorem. (English) Zbl 1498.49050 J. Appl. Math. Comput. 68, No. 4, 2151-2172 (2022). MSC: 49M37 65K05 65K10 90C26 90C29 × Cite Format Result Cite Review PDF Full Text: DOI
Akrotirianakis, I. G.; Gratton, M.; Griffin, J. D.; Yektamaram, S.; Zhou, W. Simultaneous iterative solutions for the trust-region and minimum eigenvalue subproblem. (English) Zbl 1501.90070 Optim. Methods Softw. 37, No. 2, 692-711 (2022). MSC: 90C26 90C56 65K05 49M37 × Cite Format Result Cite Review PDF Full Text: DOI
Kimiaei, Morteza An active set trust-region method for bound-constrained optimization. (English) Zbl 1493.90188 Bull. Iran. Math. Soc. 48, No. 4, 1721-1745 (2022). MSC: 90C30 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Bo; Wu, Gang Refined bounds on the convergence of block Lanczos method for extended trust-region subproblem. (English) Zbl 1498.90147 Appl. Numer. Math. 181, 388-402 (2022). MSC: 90C20 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Xin-long; Xiao, Hang The regularization continuation method with an adaptive time step control for linearly constrained optimization problems. (English) Zbl 1498.90226 Appl. Numer. Math. 181, 255-276 (2022). MSC: 90C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Mingming; Li, Yongfeng; Wen, Zaiwen A stochastic trust-region framework for policy optimization. (English) Zbl 1513.93061 J. Comput. Math. 40, No. 6, 1006-1032 (2022). MSC: 93E20 90C15 90C26 90C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Luo, Xinlong; Yao, Yiyan Primal-dual path-following methods and the trust-region updating strategy for linear programming with noisy data. (English) Zbl 1513.65185 J. Comput. Math. 40, No. 5, 760-780 (2022). MSC: 65K05 90C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Junyi; Li, Guangyu; Sen, Suvrajeet Coupled learning enabled stochastic programming with endogenous uncertainty. (English) Zbl 1489.90084 Math. Oper. Res. 47, No. 2, 1681-1705 (2022). MSC: 90C15 90C26 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Aravkin, Aleksandr Y.; Baraldi, Robert; Orban, Dominique A proximal quasi-Newton trust-region method for nonsmooth regularized optimization. (English) Zbl 1493.90139 SIAM J. Optim. 32, No. 2, 900-929 (2022). MSC: 90C26 90C53 90C56 65K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Luo, Xin-long; Lv, Jia-hui; Sun, Geng Continuation methods with the trusty time-stepping scheme for linearly constrained optimization with noisy data. (English) Zbl 1485.65061 Optim. Eng. 23, No. 1, 329-360 (2022). MSC: 65K05 65L05 90C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Keil, Tim; Ohlberger, Mario Model reduction for large-scale systems. (English) Zbl 1493.65209 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 13th international conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13127, 16-28 (2022). MSC: 65N30 65K10 49M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grapiglia, Geovani N.; Stella, Gabriel F. D. An adaptive trust-region method without function evaluations. (English) Zbl 1490.90281 Comput. Optim. Appl. 82, No. 1, 31-60 (2022). MSC: 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Zeng, Liaoyuan; Pong, Ting Kei \(\rho\)-regularization subproblems: strong duality and an eigensolver-based algorithm. (English) Zbl 1487.90609 Comput. Optim. Appl. 81, No. 2, 337-368 (2022). MSC: 90C30 90C46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Zhou, Xin; Lu, Dechun; Zhang, Yaning; Du, Xiuli; Rabczuk, Timon An open-source unconstrained stress updating algorithm for the modified Cam-clay model. (English) Zbl 1507.74225 Comput. Methods Appl. Mech. Eng. 390, Article ID 114356, 38 p. (2022). MSC: 74L10 × Cite Format Result Cite Review PDF Full Text: DOI
Khouja, Rima; Khalil, Houssam; Mourrain, Bernard Riemannian Newton optimization methods for the symmetric tensor approximation problem. (English) Zbl 1481.15028 Linear Algebra Appl. 637, 175-211 (2022). MSC: 15A69 15A18 53B20 53B21 14P10 65K10 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brust, Johannes J.; Marcia, Roummel F.; Petra, Cosmin G.; Saunders, Michael A. Large-scale optimization with linear equality constraints using reduced compact representation. (English) Zbl 1535.90154 SIAM J. Sci. Comput. 44, No. 1, A103-A127 (2022). MSC: 90C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Luo, Xin-long; Xiao, Hang; Lv, Jia-hui Continuation Newton methods with the residual trust-region time-stepping scheme for nonlinear equations. (English) Zbl 1480.65125 Numer. Algorithms 89, No. 1, 223-247 (2022). MSC: 65H20 65H10 65K05 65L05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yan, Xiaokuai; He, Qinglong; Wang, Yanfei Truncated trust region method for nonlinear inverse problems and application in full-waveform inversion. (English) Zbl 1482.90219 J. Comput. Appl. Math. 404, Article ID 113896, 17 p. (2022). MSC: 90C30 90C06 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Jirui; Fan, Jinyan On the convergence of the trust region method under the Hölderian error bound condition. (Chinese. English summary) Zbl 1513.65187 Math. Numer. Sin. 43, No. 4, 484-492 (2021). MSC: 65K05 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Prinz, Sebastian; Thomann, Jana; Eichfelder, Gabriele; Boeck, Thomas; Schumacher, Jörg Expensive multi-objective optimization of electromagnetic mixing in a liquid metal. (English) Zbl 1486.90179 Optim. Eng. 22, No. 2, 1065-1089 (2021). MSC: 90C29 90C30 76W05 90C56 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Zhensheng; Li, Peixin A trust region method with project step for bound constrained optimization without compact condition. (English) Zbl 1480.65150 Int. J. Comput. Math. 98, No. 3, 449-460 (2021). MSC: 65K05 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Keil, Tim; Mechelli, Luca; Ohlberger, Mario; Schindler, Felix; Volkwein, Stefan A non-conforming dual approach for adaptive trust-region reduced basis approximation of PDE-constrained parameter optimization. (English) Zbl 1527.90221 ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1239-1269 (2021). MSC: 90C30 35J20 65N30 90C06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jiao-fen; Wang, Kai; Liu, Yue-yuan; Duan, Xue-feng; Zhou, Xue-lin A trust-region method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils. (English) Zbl 07396246 Numer. Linear Algebra Appl. 28, No. 4, e2363, 33 p. (2021). MSC: 65F15 65F10 15A22 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Xin-long; Xiao, Hang Generalized continuation Newton methods and the trust-region updating strategy for the underdetermined system. (English) Zbl 07389353 J. Sci. Comput. 88, No. 3, Paper No. 56, 22 p. (2021). MSC: 65K05 65L05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Honglan; Ni, Qin; Jiang, Jianlin; Dang, Chuangyin A new alternating direction trust region method based on conic model for solving unconstrained optimization. (English) Zbl 07383636 Optimization 70, No. 7, 1555-1579 (2021). MSC: 65Kxx 90Cxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liang, Ling; Sun, Defeng; Toh, Kim-Chuan An inexact augmented Lagrangian method for second-order cone programming with applications. (English) Zbl 1472.90084 SIAM J. Optim. 31, No. 3, 1748-1773 (2021). MSC: 90C22 90C25 90C06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Yamashita, Hiroshi; Yabe, Hiroshi; Harada, Kouhei A primal-dual interior point trust-region method for nonlinear semidefinite programming. (English) Zbl 1470.90067 Optim. Methods Softw. 36, No. 2-3, 569-601 (2021); correction ibid. 36, No. 2-3, 669 (2021). MSC: 90C22 90C26 90C51 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xiaobo; Wang, Xianfu; Krishan Lal, Manish A nonmonotone trust region method for unconstrained optimization problems on Riemannian manifolds. (English) Zbl 1471.65053 J. Optim. Theory Appl. 188, No. 2, 547-570 (2021). MSC: 65K05 65K10 90C48 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Xin-long; Xiao, Hang; Lv, Jia-hui; Zhang, Sen Explicit pseudo-transient continuation and the trust-region updating strategy for unconstrained optimization. (English) Zbl 1468.65073 Appl. Numer. Math. 165, 290-302 (2021). MSC: 65K05 90C30 90C53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Muthukumar, Ramchandran; Kouri, Drew P.; Udell, Madeleine Randomized sketching algorithms for low-memory dynamic optimization. (English) Zbl 1469.90153 SIAM J. Optim. 31, No. 2, 1242-1275 (2021). MSC: 90C39 68W20 90C30 93C20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Hoffmann, Alexandre; Monteiller, Vadim; Bellis, Cédric A penalty-free approach to PDE constrained optimization: application to an inverse wave problem. (English) Zbl 1468.90129 Inverse Probl. 37, No. 5, Article ID 055002, 30 p. (2021). MSC: 90C30 90C55 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Li, Xing; Dong, Wen-li; Peng, Zheng A new nonmonotone trust region Barzilai-Borwein method for unconstrained optimization problems. (English) Zbl 1468.90095 Acta Math. Appl. Sin., Engl. Ser. 37, No. 1, 166-175 (2021). MSC: 90C26 65K10 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Yano, Masayuki; Huang, Tianci; Zahr, Matthew J. A globally convergent method to accelerate topology optimization using on-the-fly model reduction. (English) Zbl 1506.74309 Comput. Methods Appl. Mech. Eng. 375, Article ID 113635, 38 p. (2021). MSC: 74P15 65K99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jia, Zhongxiao; Wang, Fa The convergence of the generalized Lanczos trust-region method for the trust-region subproblem. (English) Zbl 1462.90083 SIAM J. Optim. 31, No. 1, 887-914 (2021). MSC: 90C20 90C30 65K05 65F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Curtis, Frank E.; Robinson, Daniel P.; Royer, Clément W.; Wright, Stephen J. Trust-region Newton-CG with strong second-order complexity guarantees for nonconvex optimization. (English) Zbl 1461.90107 SIAM J. Optim. 31, No. 1, 518-544 (2021). MSC: 90C26 49M05 49M15 65K05 90C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Niri, T. Dehghan; Heydari, M.; Hosseini, M. M. Correction of trust region method with a new modified Newton method. (English) Zbl 1483.65099 Int. J. Comput. Math. 97, No. 5, 1118-1132 (2020). MSC: 65K05 90C26 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Honglan; Ni, Qin; Zhang, Xuebing A simple approximated solution method for solving fractional trust region subproblems of nonlinearly equality constrained optimization. (English) Zbl 1503.90142 J. Inequal. Appl. 2020, Paper No. 25, 19 p. (2020). MSC: 90C32 65K05 90C53 90C55 × Cite Format Result Cite Review PDF Full Text: DOI
Niri, T. Dehghan; Heydari, M.; Hosseini, M. M. Two nonmonotone trust region algorithms based on an improved Newton method. (English) Zbl 1475.65041 J. Appl. Math. Comput. 64, No. 1-2, 179-194 (2020). MSC: 65K05 90C26 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xinyi; Ding, Xianfeng; Qu, Quan A new nonmonotone adaptive trust region line search method for unconstrained optimization. (English) Zbl 1469.90116 J. Math. Ind. 10, Paper No. 13, 12 p. (2020). MSC: 90C26 90C53 90C55 × Cite Format Result Cite Review PDF Full Text: DOI
Rahpeymaii, Farzad An efficient line search trust-region for systems of nonlinear equations. (English) Zbl 1548.65127 Math. Sci., Springer 14, No. 3, 257-268 (2020). MSC: 65H10 × Cite Format Result Cite Review PDF Full Text: DOI
Costa, Carina Moreira; Grapiglia, Geovani Nunes A subspace version of the Wang-Yuan augmented Lagrangian-trust region method for equality constrained optimization. (English) Zbl 1472.90127 Appl. Math. Comput. 387, Article ID 124861, 13 p. (2020). MSC: 90C30 90C55 × Cite Format Result Cite Review PDF Full Text: DOI
Noll, Dominikus Cutting plane oracles for non-smooth trust-regions. (English) Zbl 1457.65026 Pure Appl. Funct. Anal. 5, No. 3, 671-704 (2020). MSC: 65K05 49J53 90C26 90C56 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Zhang, Lei-Hong; Li, Ren-Gang Krylov subspace methods for trust-region subproblem and beyond. (English) Zbl 1461.90089 Ji, Lizhen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press. 721-740 (2020). MSC: 90C20 90C06 65F10 65F15 65F35 × Cite Format Result Cite Review PDF
Kabir, Muhammad Nomani A robust algorithm for solving nonlinear system of equations using trust-region and line-search techniques. (English) Zbl 1453.65108 Int. J. Comput. Sci. Math. 11, No. 2, 192-207 (2020). MSC: 65H10 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Pang, Bo; Zhang, Xue; Cao, Mingyuan An adaptive trust region method for solving \(\mathcal{D}\)-eigenvalues problem of diffusion kurtosis tensors. (English) Zbl 1463.49016 J. Beihua Univ., Nat. Sci. 21, No. 3, 290-294 (2020). MSC: 49J30 65K10 × Cite Format Result Cite Review PDF
Su, Ke; Wang, Chen; Li, Xiaochuan A modified nonmonotone filter method for minimax problems. (English) Zbl 1463.90238 Math. Appl. 33, No. 2, 358-372 (2020). MSC: 90C47 × Cite Format Result Cite Review PDF
Liu, Yan; He, Suxiang A trust region method for constrained optimization problems based on augmented Lagrange functions. (Chinese. English summary) Zbl 1449.65119 Math. Appl. 33, No. 1, 138-145 (2020). MSC: 65K05 90C30 × Cite Format Result Cite Review PDF
Chen, Zhongwen; Dai, Yu-Hong; Liu, Jiangyan A penalty-free method with superlinear convergence for equality constrained optimization. (English) Zbl 1446.90146 Comput. Optim. Appl. 76, No. 3, 801-833 (2020). MSC: 90C30 90C55 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Ji-Chuan; Li, Xiao-Chen Reconstruction algorithms of an inverse source problem for the Helmholtz equation. (English) Zbl 1442.65334 Numer. Algorithms 84, No. 3, 909-933 (2020). MSC: 65N21 65N20 65J20 65K10 35R30 35J05 35R25 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Guohua; Jiang, Hao; Vink, Jeroen C.; van Hagen, Paul P. H.; Wells, Terence J. Performance enhancement of Gauss-Newton trust-region solver for distributed Gauss-Newton optimization method. (English) Zbl 1434.90211 Comput. Geosci. 24, No. 2, 837-852 (2020). MSC: 90C39 90C20 86A22 90C55 × Cite Format Result Cite Review PDF Full Text: DOI
Carmon, Yair; Duchi, John C. First-order methods for nonconvex quadratic minimization. (English) Zbl 1459.65082 SIAM Rev. 62, No. 2, 395-436 (2020). Reviewer: Nada Djuranović-Miličić (Beograd) MSC: 65K05 90C06 90C20 90C26 90C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xi, Min; Sun, Wenyu; Chen, Yannan; Sun, Hailin A derivative-free algorithm for spherically constrained optimization. (English) Zbl 1441.90182 J. Glob. Optim. 76, No. 4, 841-861 (2020). MSC: 90C56 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Brás, C. P.; Martínez, J. M.; Raydan, M. Large-scale unconstrained optimization using separable cubic modeling and matrix-free subspace minimization. (English) Zbl 1432.90119 Comput. Optim. Appl. 75, No. 1, 169-205 (2020). MSC: 90C26 65K10 90C06 × Cite Format Result Cite Review PDF Full Text: DOI Link
Park, Seonho; Jung, Seung Hyun; Pardalos, Panos M. Combining stochastic adaptive cubic regularization with negative curvature for nonconvex optimization. (English) Zbl 1432.90096 J. Optim. Theory Appl. 184, No. 3, 953-971 (2020). MSC: 90C15 90C26 49M15 65K10 90C06 90C60 49M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matias, Dmitrii V.; Vitokhin, Evgeniy Yu. A comparison of the finite-difference and finite-volume methods for a numerical solution of a hyperbolic thermoelasticity problem utilizing the implicit and explicit schemes. (English) Zbl 07806630 ZAMM, Z. Angew. Math. Mech. 99, No. 5, Article ID e201700369, 17 p. (2019). MSC: 80Axx 74Axx 74Fxx × Cite Format Result Cite Review PDF Full Text: DOI
Abareshi, Maryam; Zaferanieh, Mehdi; Safi, Mohammad Reza Origin-destination matrix estimation problem in a Markov chain approach. (English) Zbl 1514.90006 Netw. Spat. Econ. 19, No. 4, 1069-1096 (2019). MSC: 90B06 90C90 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yueting; Wang, Li; Xing, Fu’na; Chen, Yuting; Cao, Mingyuan A non-monotone adaptive trust region method for generalized eigenvalues of symmetric tensors. (Chinese. English summary) Zbl 1449.65084 J. Beihua Univ., Nat. Sci. 20, No. 5, 580-587 (2019). MSC: 65F15 15A69 × Cite Format Result Cite Review PDF
Boumal, Nicolas; Absil, P.-A.; Cartis, Coralia Global rates of convergence for nonconvex optimization on manifolds. (English) Zbl 1483.65092 IMA J. Numer. Anal. 39, No. 1, 1-33 (2019); erratum ibid. 40, No. 4, 2940 (2020). MSC: 65K05 90C26 90C46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cartis, Coralia; Roberts, Lindon A derivative-free Gauss-Newton method. (English) Zbl 1461.65136 Math. Program. Comput. 11, No. 4, 631-674 (2019). MSC: 65K05 90C30 90C56 90-04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xi, Min; Sun, Wenyu A derivative-free algorithm based on simple model for unconstrained optimization. (Chinese. English summary) Zbl 1449.90330 Numer. Math., Nanjing 41, No. 2, 176-192 (2019). MSC: 90C30 90C56 65K05 × Cite Format Result Cite Review PDF